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3 years ago

Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle

1 answer:

7 0

Let x and y be the two angles;
We have the equation: x + y = 180 and x = 5 + 6y;
Then, 5 + 7y = 180;
Finally, 7y = 175;
y = 25 degrees;
x = 180 - 25;
x = 155 degrees;

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Simplify the following expression

timama [110]

Answer: 0.25 or 1/4

Step-by-step explanation:

1/2*2 = 1/2^2 = 1/4

6 0

3 years ago

A circle has 9 times the area of another circle. If the radius of the larger circle is 27 meters, find the radius of the smaller

hoa [83]

Answer:

Step-by-step explanation:

5 0

3 years ago

The length of a rectangle is twice as long as the width of the rectangle.

Rashid [163]

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

8 0

2 years ago

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = $\frac{23}{100}\times 1227.38 = \$282.2974$

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = $1227.38-282.2974 = \$945.0826$

Rounding to nearest hundred we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

6 0

3 years ago

The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep

Pani-rosa [81]

The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
For the white car we have:
Male = 0.11
Female = 0.20
Total = 0.31
The percentage is given by:
(0.31) * (100) = 31%
Answer:
The percentage that represents the car bought most often is:
31%

6 0

3 years ago